Geometric Distributions

Given 13% of people are left-handed.  What is the probability the first left-handed person will be the sixth person polled?  

• .0564

• .1116

• .0001

• .0648

The McDonald's Monopoly game has a 1 in 4 chance of winning.  What is the probability your first win is on your third attempt?

• .1406

• .0156

• .2500

• .0352

The probability that a salesman will make a sale on any given call is .23.  Find the probability that his first sale will occur on his fourth or fifth call.

• .1050

• .0809

• .1859

• .8141

If you want to know how many trials you will need before your first success, use the ????? model.

• Geometric

• Binomial

• Normal

• Calculator

The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 4% of the customers buy specialty clothes for their pets. What is the probability that she does NOT sell a garment until the 7th customer? Assume each customer is independent.

• 0.033

• 0.027

• 0.0313

• Not here

If we want to calculate the probability of rolling a 6 for the first time on the 6^th roll of a die, would we use the geometric or the binomial distribution?

• geometric

• binomial

Determine whether the given random variable has a binomial distribution, geometric distribution, or neither.

A state agency wishes to know if cars using the HOV (high-occupancy) lane have three or more occupants.  Let X = the numbers of cars that pass by until you see a car with three or more occupants.

• Binomial

• Geometric

• Neither

According to a 2022 poll, 62% of high school graduates go to college. What is the probability that you must sample at least 3 high school graduates to find one who is going to college?

• 0.090

• 0.945

• 0.144

• 0.856

What’s the probability that the fifth chip you test is the first bad one you find?

• Binomial Distribution

• Geometric Distribution

About 8% of males are colorblind. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects. 

a) On average, how many men should the researcher expect to check to find one who is colorblind?

• Binomial Distribution

• Geometric Distribution